Results 51 to 60 of about 9,899 (289)
Erratum: the energy of the analytic lump solution in SFT [PDF]
Journal of High Energy Physics, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bonora, L., Giaccari, S., Tolla, D. D.
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Results in Physics, 2023 Numerous scientific fields depend on precise solutions, which can be obtained for nonlinear partial differential equations (PDEs) through various techniques. It is important to note that solutions obtained through different approaches can vary.
Saqib Khaliq +5 more
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Results in Physics, 2022 In this article, we study the generalized (3+1)-dimensional nonlinear wave equation where is investigated in soliton theory and by employing the Hirota’s bilinear method the bilinear form is obtained, and the N-soliton solutions are constructed.
Guiping Shen +5 more
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Discrete Dynamics in Nature and Society, 2022 In this article, a generalized (3 + 1)-dimensional nonlinear evolution equation (NLEE), which can be obtained by a multivariate polynomial, is investigated. Based on the Hirota bilinear method, the N-soliton solution and bilinear Bäcklund transformation (
Yali Shen, Ying Yang
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Partial Differential Equations in Applied Mathematics, 2021 We construct lump wave solution by using parametric limit approach from an interaction of double soliton solutions to the (2+1)-dimensional shallow water wave equation.
Fahad Sameer Alshammari +2 more
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Evolution of lump solutions for the KP equation [PDF]
Wave Motion, 1996 Abstract The two (space)-dimensional generalisation of the Korteweg-de Vries (KdV) equation is the Kadomtsev-Petviashvili (KP) equation. This equation possesses two solitary wave type solutions. One is independent of the direction orthogonal to the direction of propagation and is the soliton solution of the KdV equation extended to two space ...
Minzoni, A. A., Smyth, N. F.
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Mathematics, 2023 This article studies diverse forms of lump-type solutions for coupled nonlinear generalized Zakharov equations (CNL-GZEs) in plasma physics through an appropriate transformation approach and bilinear equations. By utilizing the positive quadratic assumption in the bilinear equation, the lump-type solutions are derived.
Aly R. Seadawy +2 more
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Dynamical analysis of lump solution for the (2+1)-dimensional Ito equation
, 2017 Exact kinky breather-wave solution, periodic breather-wave solution, and some lump solutions to the (2+1)-dimensional Ito equation are obtained by using an extended homoclinic test technique and Hirota bi-linear method with a perturbation parameter u0 ...
Wei Tan, Hou-Ping Dai, Zheng-De Dai
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Exact solutions of a (3+1)-dimensional nonlinear evolution equation based on its Wronskian form
Partial Differential Equations in Applied Mathematics, 2022 In this paper, the Hirota bilinear method is applied to investigate the exact solutions of a (3+1)-dimensional nonlinear evolution equation. The soliton, breather and lump solutions satisfying specific Wronskian conditions are obtained.
Yaning Tang, Zaijun Liang
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M-Breather, Lumps, and Soliton Molecules for the 2+1-Dimensional Elliptic Toda Equation
Advances in Mathematical Physics, 2021 The 2+1-dimensional elliptic Toda equation is a higher dimensional generalization of the Toda lattice and also a discrete version of the Kadomtsev-Petviashvili-1 (KP1) equation. In this paper, we derive the M-breather solution in the determinant form for
Yuechen Jia, Yu Lu, Miao Yu, Hasi Gegen
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